Beat eggs, milk, salt and approx. 3/4 teaspoon dill until frothy. Stir in the flour. Gently heat the butter in a pan. Fry half of the egg-flour mixture in the pan on both sides until crispy. Place the pancake on a preheated plate and fry the other half of the dough until crispy on both sides.
In the meantime, place half of the smoked salmon on the still hot pancake, place the second pancake on top and spread the other half of the smoked salmon on top. Then sprinkle thinly with the remaining dill.